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Jens Christian Bjerring & Wolfgang Schwarz (2017). Granularity Problems.

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    Impossible Worlds and Partial Belief.Edward Elliott - forthcoming - Synthese:1-26.
    One response to the problem of logical omniscience in standard possible worlds models of belief is to extend the space of worlds so as to include impossible worlds. It is natural to think that essentially the same strategy can be applied to probabilistic models of partial belief, for which parallel problems also arise. In this paper, I note a difficulty with the inclusion of impossible worlds into probabilistic models. Under weak assumptions about the space of worlds, most of the propositions (...)
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